A non-existence result for the Ginzburg-Landau equations

Mathematics – Analysis of PDEs

Scientific paper

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4 pages, revised version

Scientific paper

We consider the stationary Ginzburg-Landau equations in $\R^d$, $d=2,3$. We
exhibit a class of applied magnetic fields (including constant fields) such
that the Ginzburg-Landau equations do not admit finite energy solutions.

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